Hello sir/madam. I want to hire someone to help me with the online exam.Details:Date and time: 20/4

ANSWER ALL QUESTIONS

Hello sir/madam. I want to hire someone to help me with the online exam.

Details:

Date and time: 20/4 15:00-16:20(UTC+8)

Subject: Mathematical analysis

The real exam is similar to this paper 

Can anyone help me finish the exam on that day? I want to get at least 90% of the result. If so, what is the price? 

You should send me the answer to my email once you answer a question. Not after finishing all the works.

Thank you! 

1. (10 marks) Let A be n nonempty bounded subset of R such that inf A 

supA 6. Let 

N YEA). 

3 and 

Prove that B is bounded. Determine (with proof) the infimum and supremum of B. 

2. (13 marks) Prove that the sequence converges, where 

120 

ml —35 and for n — 

and find its limit. Show all details. 

3. (12 marks) Let S Irv"ü : r Q). Determine if S is a countable set or not. Prove 

that there exist infinitely many real numbers c such that the equation 

siny — 2" cosr c 

does not have any solution with x, y e S. 

4. (10 marks) Prove that 

3n2 — 1 

by checking the definition of limit of n sequence only. 

(Do not use computation formulas, sandwich theorem or l'Hopitfll's rule! Otherwise, 

you will get zero mark for this problem.) 

Attachments:

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